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Finding the Fourth Proportional to 414,906.90, 622,393.07 and 204,430.10

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Solution

The fourth proportional to 414,906.90, 622,393.07 and 204,430.10 is: 306,661.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,906.90 : 622,393.07 = 204,430.10 : x
  2. Step 2: Convert to fraction form
    414,906.90/622,393.07 = 204,430.10/x
  3. Step 3: Cross multiply
    414,906.90x = 622,393.07 × 204,430.10
  4. Step 4: Simplify right side
    414,906.90x = 127,235,877,539.41
  5. Step 5: Solve for x
    x = 127,235,877,539.41/414,906.90
  6. Step 6: Final answer
    x = 306,661.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.